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What is the Least Common Multiple of 6396 and 6409?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 6396 and 6409 is 3153228.

LCM(6396,6409) = 3153228

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Least Common Multiple of 6396 and 6409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6396 and 6409, than apply into the LCM equation.

GCF(6396,6409) = 13
LCM(6396,6409) = ( 6396 × 6409) / 13
LCM(6396,6409) = 40991964 / 13
LCM(6396,6409) = 3153228

Least Common Multiple (LCM) of 6396 and 6409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6396 and 6409. First we will calculate the prime factors of 6396 and 6409.

Prime Factorization of 6396

Prime factors of 6396 are 2, 3, 13, 41. Prime factorization of 6396 in exponential form is:

6396 = 22 × 31 × 131 × 411

Prime Factorization of 6409

Prime factors of 6409 are 13, 17, 29. Prime factorization of 6409 in exponential form is:

6409 = 131 × 171 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 6396 and 6409.

LCM(6396,6409) = 22 × 31 × 131 × 411 × 171 × 291
LCM(6396,6409) = 3153228